Finding the Third Proportional to 78,809 and 170,076

Step by Step Solution

1. Step 1: Write the proportion equation
   78,809 : 170,076 = 170,076 : x
2. Step 2: Convert to fraction form
   78,809/170,076 = 170,076/x
3. Step 3: Cross multiply
   78,809x = 170,076 × 170,076
4. Step 4: Simplify right side
   78,809x = 28,925,845,776
5. Step 5: Solve for x
   x = 28,925,845,776/78,809
6. Step 6: Final answer
   x = 367,037.34